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A characterization of unitary operators induced by nonsingular transformations and its applications

Published online by Cambridge University Press:  22 January 2016

Hiroshi Sato  and
Yukimasa Oka
Hiroshi Sato
Affiliation:
Kyushu University
Yukimasa Oka
Affiliation:
Kyushu University
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In this paper we give a necessary and sufficient condition for a unitary operator on an L2-space to be induced by a nonsingular transformation and its applications.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 53 , May 1974 , pp. 189 - 198
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1974

References

[1] Dixmier, J.: Les algèbres d’opérateurs dans l’espace hilbertien. Gauthier-Villars. Paris (1957).Google Scholar
[2] Totoki, H.: Introduction to the ergodic theory. Kyoritsu, Tokyo (1971). (in Japanese)Google Scholar
[3] Sato, H.: Rotations of induced by nonsingular transformations. (to appear in Memoirs of the Fac. Sci. Kyushu Univ. Ser A, Vol. 28 (1974).Google Scholar